Wow... your comment is infact more useful pearl of wisdom for getting the intuition of Eigen-values/vectors.
Can you suggest some book/reference that best conveys this intuition ?
Somehow, Gilbert Strang's Linear Algebra does put me to sleep :/
Linear algebra that focuses on matrices of numbers is missing the point and a proper numerical linear algebra class will teach them better anyway
https://www.maa.org/sites/default/files/pdf/awards/Axler-For...
As a graduate student at the time, it opened my eyes about a whole bunch of theorems that I thought I already knew. And it is a lot more approachable than a textbook.
It won an award for the best piece of expository writing on mathematics in 1996. It was a deserved win. :-)